Gaussian surfaces and conducting spheres (YF 22.14)

This problem is testing your understanding of Gaussian surfaces and charges of solid conducting spheres


Intro to Gauss’s Law

This problem tests your basic knowledge of Gauss’s Law


Intro to electric flux (YF 22.1)

This problem is test your understanding of angles and how orientation affects electric flux.


Derivation of the components of an Electric Force of a length of charge on a charge (YF 21.90)

Positive charge Q is distributed uniformly along the positive y-axis between y=0 and y=a. A negative charge -q lies on the positive x-axis, a distance x from the origin.

Calculate the x and y components of the electric field produced by the charge distribution Q at points on the positive x-axis.


Electric Field of a charged wire (YF 21.54a)

A straight, non conducting plastic wire 8.50 cm long carries a charge density of +175 nC/m distributed uniformly along its length. It is lying on a horizontal tabletop.

Find the magnitude and direction of the electric field this wire produces at a point 6.00 cm directly above its midpoint.


Electric Force of two charges acting on a charge at angles (YF 21.37)

If two electrons are each 1.50 x 10-10 m from a proton, as seen in the figure.

Find the magnitude and direction of the net electric force they will exert on the proton.


Net electric field of multiple charges (YF 21.30)

A point charge is placed at each corner of a square with sides length a. The charges all have the same magnitude q. Two of the charges are positive and two are negative, as shown in the figure.

What is the direction of the net electric field at the center of the square due to the four charges, and what is its magnitude in terms of q and a?


Coulomb’s Law between three charges on the same axis (YF 21.19)

Three point charges are arranged along the x-axis. Charge q1 = +3.00μC is at the origin, and charge q2 = -5.00μC is at x=0.200m. Charge q3 = -8.00μC.
Where is q3 located if the net force on q1 is 7.00 N in the -x direction?



Coulomb force between two charged particles on the same axis (YF 21.14)

A negative charge of -0.55μC exerts an upward 0.200 N force on an unknown charge 0.300 m directly below it.
(a) What is the unknown charge?
(b) What are the magnitude and direction of the force that the unknown charge exerts on the -0.55μC charge?


Using Coulomb’s Law to find the number of electrons present (YF 21.6)


Two small spheres spaced 20.0 cm apart have equal charge. How many electrons must be present on each sphere if the magnitude of the force of repulsion between them is 4.57 x 10-21 N?

  • Electric Force Images




    Electric forces exist between charged particles, as shown in the images above. These images depict …